DegreesAndMultiplicitiesF4_4mod12 := [
[1, 1],
[1/2*q*(q^4+1)*(q-1)^2*(q^2+q+1)^2, 1],
[1/2*q*(q^2+1)*(q^4+1)*(q^4-q^2+1), 2],
[1/2*q*(q^4+1)*(q+1)^2*(q^2-q+1)^2, 1],
[q^2*(q^4-q^2+1)*(q^2-q+1)^2*(q^2+q+1)^2, 1],
[(q-1)*(q^2+1)*(q^4+1)*(q^4-q^2+1)*(q^2-q+1)*(q^2+q+1), q],
[q^3*(q^4+1)*(q^4-q^2+1)*(q^2+1)^2, 2],
[(q+1)*(q^2+1)*(q^4+1)*(q^4-q^2+1)*(q^2-q+1)*(q^2+q+1), q-2],
[(q^4+1)*(q^4-q^2+1)*(q+1)^2*(q^2+1)^2*(q^2-q+1)^2, 1],
[1/24*q^4*(q^4+1)*(q^4-q^2+1)*(q^2-q+1)^2*(q-1)^4, 1],
[1/24*q^4*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q+1)^4, 1],
[1/12*q^4*(q^4+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1],
[1/8*q^4*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q-1)^4, 1],
[1/8*q^4*(q^4+1)*(q^4-q^2+1)*(q^2+1)^2*(q^2-q+1)^2, 2],
[1/8*q^4*(q^4+1)*(q^4-q^2+1)*(q^2-q+1)^2*(q+1)^4, 1],
[1/8*q^4*(q^4+1)*(q^4-q^2+1)*(q^2+1)^2*(q^2+q+1)^2, 2],
[1/4*q^4*(q^4-q^2+1)*(q^2+1)^2*(q^2+q+1)^2*(q-1)^4, 1],
[1/4*q^4*(q^2-q+1)^2*(q^2+q+1)^2*(q-1)^4*(q+1)^4, 2],
[1/4*q^4*(q^2+1)*(q^4+1)*(q^4-q^2+1)*(q-1)^2*(q^2+q+1)^2, 2],
[1/4*q^4*(q^4+1)*(q-1)^2*(q+1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 1],
[1/4*q^4*(q^2+1)*(q^4+1)*(q^4-q^2+1)*(q+1)^2*(q^2-q+1)^2, 2],
[1/4*q^4*(q^4-q^2+1)*(q^2+1)^2*(q^2-q+1)^2*(q+1)^4, 1],
[1/3*q^4*(q^4+1)*(q^2+1)^2*(q-1)^4*(q+1)^4, 2],
[1/3*q^4*(q^4+1)*(q^4-q^2+1)*(q^2-q+1)^2*(q^2+q+1)^2, 1],
[1/2*q*(q^2+1)*(q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q-1)^3, q],
[1/2*q*(q-1)*(q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q^2+1)^2*(q^2-q+1)^2, q],
[1/2*q*(q+1)*(q^2+1)*(q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q-1)^2*(q^2+q+1)^2, q-2],
[1/2*q*(q-1)*(q^2+1)*(q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(q+1)^2*(q^2-q+1)^2, q],
[1/2*q*(q-1)*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^2+q+1)^2*(q^2+1)^2, q],
[1/2*q*(q+1)*(q^2+q+1)*(q^4-q^2+1)*(q^4+1)*(q^2+1)^2*(q^2-q+1)^2, q-2],
[1/2*q*(q^2+q+1)*(q^2+1)*(q^4-q^2+1)*(q^4+1)*(q^2-q+1)^2*(q+1)^3, q-2],
[1/2*q*(q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^2+q+1)^2*(q^2+1)^2, q-2],
[(q^2+1)*(q^4+1)*(q^4-q^2+1)*(q-1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/8*q*(q-2)],
[(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q-1)^2*(q^2+q+1)^2*(q^2+1)^2, q],
[(q^4-q^2+1)*(q^4+1)*(q-1)^2*(q+1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 1/4*q^2],
[(q-1)*(q+1)*(q^2+1)*(q^4+1)*(q^4-q^2+1)*(q^2-q+1)^2*(q^2+q+1)^2, 1/2*q*(q-2)],
[q*(q^4-q^2+1)*(q^4+1)*(q^2+1)^2*(q^2-q+1)^2*(q+1)^3, 2],
[(q^2+q+1)*(q^4-q^2+1)*(q^4+1)*(q+1)^2*(q^2+1)^2*(q^2-q+1)^2, q-4],
[(q^2+1)*(q^4+1)*(q^4-q^2+1)*(q+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/8*(q-2)*(q-4)],
[(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^2+q+1)^2*(q^2+1)^2*(q-1)^3, 1/6*q*(q-4)],
[(q^4-q^2+1)*(q^4+1)*(q-1)^2*(q^2+1)^2*(q^2-q+1)^2*(q+1)^3, 1/3*(q+2)*(q-1)],
[q*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q-1)^2*(q^2+q+1)^2*(q^2+1)^2, q],
[q^2*(q-1)*(q^2+1)*(q^4+1)*(q^4-q^2+1)*(q^2-q+1)^2*(q^2+q+1)^2, q],
[(q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q-1)^2*(q^2+q+1)^2*(q^2+1)^2, 1/2*q*(q-2)],
[q^9*(q^4+1)*(q^4-q^2+1)*(q^2+1)^2, 2],
[(q-1)*(q^2+q+1)*(q^4-q^2+1)*(q^4+1)*(q+1)^2*(q^2+1)^2*(q^2-q+1)^2, 1/2*q*(q-2)],
[q^3*(q^4+1)*(q^4-q^2+1)*(q+1)^2*(q^2+1)^2*(q^2-q+1)^2, 2],
[(q^4-q^2+1)*(q^4+1)*(q+1)^2*(q^2+q+1)^2*(q^2+1)^2*(q-1)^3, 1/3*q*(q-1)],
[q^2*(q+1)*(q^2+1)*(q^4+1)*(q^4-q^2+1)*(q^2-q+1)^2*(q^2+q+1)^2, q-2],
[q*(q^2+q+1)*(q^4-q^2+1)*(q^4+1)*(q+1)^2*(q^2+1)^2*(q^2-q+1)^2, q-4],
[(q^2+q+1)*(q^4-q^2+1)*(q^4+1)*(q^2+1)^2*(q^2-q+1)^2*(q+1)^3, 1/6*(q-4)^2],
[q*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^2+q+1)^2*(q^2+1)^2*(q-1)^3, q],
[(q^4-q^2+1)*(q^4+1)*(q-1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/4*q*(q-4)],
[q^3*(q-1)*(q^2+1)*(q^4+1)*(q^4-q^2+1)*(q^2-q+1)^2*(q^2+q+1)^2, q],
[q^10*(q^4-q^2+1)*(q^2-q+1)^2*(q^2+q+1)^2, 1],
[(q-1)*(q+1)*(q^4-q^2+1)*(q^4+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/2*q*(q-2)],
[q^3*(q+1)*(q^2+1)*(q^4+1)*(q^4-q^2+1)*(q^2-q+1)^2*(q^2+q+1)^2, q-2],
[q^2*(q^4-q^2+1)*(q^4+1)*(q^2+1)^2*(q^2-q+1)^2*(q+1)^4, 1],
[q*(q^2+q+1)*(q^4-q^2+1)*(q^4+1)*(q^2+1)^2*(q^2-q+1)^2*(q+1)^3, q-4],
[(q^4-q^2+1)*(q^4+1)*(q+1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/4*(q-4)^2],
[1/2*q*(q^2+1)*(q^4+1)*(q^4-q^2+1)*(q^2-q+1)^2*(q^2+q+1)^2*(q-1)^4, 1/8*q*(q-2)],
[1/2*q*(q^4-q^2+1)*(q^4+1)*(q+1)^2*(q^2-q+1)^2*(q^2+q+1)^2*(q-1)^4, 1/4*q^2],
[1/2*q^4*(q^2+1)*(q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q-1)^3, q],
[1/2*q*(q+1)*(q^2+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q^2-q+1)^2*(q-1)^3, 1/2*q*(q-2)],
[1/2*q*(q^4-q^2+1)*(q^4+1)*(q-1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/4*q*(q-2)],
[1/2*q^4*(q-1)*(q^2+q+1)*(q^4-q^2+1)*(q^4+1)*(q^2+1)^2*(q^2-q+1)^2, q],
[1/2*q^13*(q^4+1)*(q-1)^2*(q^2+q+1)^2, 1],
[1/2*q^4*(q+1)*(q^2+1)*(q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(q-1)^2*(q^2+q+1)^2, q-2],
[1/2*q*(q^2+1)*(q^4+1)*(q^4-q^2+1)*(q-1)^2*(q+1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 3/4*q^2-q+1],
[1/2*q^13*(q^2+1)*(q^4+1)*(q^4-q^2+1), 2],
[1/2*q^4*(q-1)*(q^2+1)*(q^2+q+1)*(q^4-q^2+1)*(q^4+1)*(q+1)^2*(q^2-q+1)^2, q],
[1/2*q^13*(q^4+1)*(q+1)^2*(q^2-q+1)^2, 1],
[1/2*q^4*(q-1)*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^2+1)^2*(q^2+q+1)^2, q],
[1/2*q*(q-1)*(q+1)*(q^4-q^2+1)*(q^4+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, q*(q-2)],
[1/2*q^4*(q+1)*(q^2+q+1)*(q^4-q^2+1)*(q^4+1)*(q^2+1)^2*(q^2-q+1)^2, q-2],
[1/2*q*(q^4-q^2+1)*(q^4+1)*(q-1)^2*(q^2+q+1)^2*(q^2-q+1)^2*(q+1)^4, 1/4*q^2],
[1/2*q*(q-1)*(q^2+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q^2-q+1)^2*(q+1)^3, 1/2*q*(q-2)],
[1/2*q^4*(q^2+q+1)*(q^2+1)*(q^4-q^2+1)*(q^4+1)*(q^2-q+1)^2*(q+1)^3, q-2],
[1/2*q^4*(q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^2+q+1)^2*(q^2+1)^2, q-2],
[1/2*q*(q^4-q^2+1)*(q^4+1)*(q+1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/4*(q-2)*(q-4)],
[1/2*q*(q^2+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q^2-q+1)^2*(q+1)^4, 1/8*(q-2)*(q-4)],
[q*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^2+1)^2*(q^2+q+1)^2*(q-1)^4, 1/6*q*(q-4)],
[(q^4-q^2+1)*(q^4+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2*(q-1)^3, 1/24*q*(q-4)*(q-6)],
[q^2*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^2+q+1)^2*(q^2+1)^2*(q-1)^3, q],
[q*(q^4-q^2+1)*(q^4+1)*(q-1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/2*q*(q-4)],
[(q^2+1)*(q^4+1)*(q^4-q^2+1)*(q+1)^2*(q^2-q+1)^2*(q^2+q+1)^2*(q-1)^3, 1/4*q^3],
[q*(q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^2+1)^2*(q^2+q+1)^2*(q-1)^3, 1/2*q*(q-2)],
[q^3*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q-1)^2*(q^2+q+1)^2*(q^2+1)^2, q],
[(q+1)*(q^4-q^2+1)*(q^4+1)*(q-1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 3/8*q*(q-2)^2],
[q*(q^4-q^2+1)*(q^4+1)*(q+1)^2*(q^2+q+1)^2*(q^2+1)^2*(q-1)^4, 1/3*q*(q-1)],
[q*(q^4-q^2+1)*(q^4+1)*(q-1)^2*(q^2+1)^2*(q^2-q+1)^2*(q+1)^4, 1/3*(q+2)*(q-1)],
[(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q+1)^2*(q^2+q+1)^2*(q^2+1)^2*(q-1)^3, 1/3*q^2*(q-1)],
[(q^2+q+1)*(q^4-q^2+1)*(q^4+1)*(q-1)^2*(q^2+1)^2*(q^2-q+1)^2*(q+1)^3, 1/3*(q-1)*(q^2-2)],
[q*(q-1)*(q+1)*(q^4-q^2+1)*(q^4+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, q*(q-2)],
[(q^2+1)*(q^4+1)*(q^4-q^2+1)*(q-1)^2*(q^2+q+1)^2*(q^2-q+1)^2*(q+1)^3, 1/4*q^2*(q-2)],
[q*(q-1)*(q^2+q+1)*(q^4-q^2+1)*(q^4+1)*(q^2+1)^2*(q^2-q+1)^2*(q+1)^3, 1/2*q*(q-2)],
[q^4*(q^4-q^2+1)*(q^4+1)*(q^2+1)^2*(q^2-q+1)^2*(q+1)^3, 2],
[(q-1)*(q^4-q^2+1)*(q^4+1)*(q+1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 3/8*q*(q-2)*(q-4)],
[q^3*(q^2+q+1)*(q^4-q^2+1)*(q^4+1)*(q+1)^2*(q^2+1)^2*(q^2-q+1)^2, q-4],
[q^2*(q^2+q+1)*(q^4-q^2+1)*(q^4+1)*(q^2+1)^2*(q^2-q+1)^2*(q+1)^3, q-4],
[q*(q^4-q^2+1)*(q^4+1)*(q+1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/2*(q-4)^2],
[q*(q^2+q+1)*(q^4-q^2+1)*(q^4+1)*(q^2+1)^2*(q^2-q+1)^2*(q+1)^4, 1/6*(q-4)^2],
[(q^4-q^2+1)*(q^4+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2*(q+1)^3, 1/24*(q-4)*(q^2-12*q+28)],
[(q^4-q^2+1)*(q^4+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2*(q-1)^4, 1/1152*q*(q-10)*(q-6)*(q-4)],
[q*(q^4-q^2+1)*(q^4+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2*(q-1)^3, 1/24*q*(q-4)*(q-6)],
[(q^4-q^2+1)*(q^4+1)*(q^2+1)^2*(q^2-q+1)^2*(q-1)^4*(q+1)^4, 1/72*(q+2)*(q-1)*(q^2+q-4)],
[(q^2+1)*(q^4+1)*(q^4-q^2+1)*(q+1)^2*(q^2-q+1)^2*(q^2+q+1)^2*(q-1)^4, 1/32*q^3*(q-2)],
[q^3*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^2+q+1)^2*(q^2+1)^2*(q-1)^3, 1/6*q*(q-4)],
[(q+1)*(q^4-q^2+1)*(q^4+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2*(q-1)^3, 1/48*q*(q-4)*(q-2)^2],
[q^4*(q^2+1)*(q^4+1)*(q^4-q^2+1)*(q-1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/8*q*(q-2)],
[q^2*(q^4-q^2+1)*(q^4+1)*(q-1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/4*q*(q-4)],
[(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q+1)^2*(q^2+q+1)^2*(q^2+1)^2*(q-1)^4, 1/18*q^2*(q-1)^2],
[q*(q^2+1)*(q^4+1)*(q^4-q^2+1)*(q+1)^2*(q^2-q+1)^2*(q^2+q+1)^2*(q-1)^3, 1/4*q^3],
[(q^2+q+1)*(q^4-q^2+1)*(q^4+1)*(q^2+1)^2*(q^2-q+1)^2*(q-1)^3*(q+1)^3, 1/6*q^2*(q-1)*(q+1)],
[q^3*(q^4-q^2+1)*(q^4+1)*(q-1)^2*(q^2+1)^2*(q^2-q+1)^2*(q+1)^3, 1/3*(q+2)*(q-1)],
[q^9*(q-1)*(q^2+1)*(q^4+1)*(q^4-q^2+1)*(q^2-q+1)*(q^2+q+1), q],
[q^4*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q-1)^2*(q^2+q+1)^2*(q^2+1)^2, q],
[q*(q+1)*(q^4-q^2+1)*(q^4+1)*(q-1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 3/8*q*(q-2)^2],
[(q^4-q^2+1)*(q^4+1)*(q^2+q+1)^2*(q^2-q+1)^2*(q-1)^4*(q+1)^4, 1/96*q^2*(q-2)*(q+2)],
[(q^4-q^2+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2*(q-1)^4*(q+1)^4, 1/8*q^4],
[(q^2+1)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q^2-q+1)^2*(q-1)^3*(q+1)^3, 1/8*q^3*(q-2)],
[q^4*(q^4-q^2+1)*(q^4+1)*(q-1)^2*(q+1)^2*(q^2+q+1)^2*(q^2-q+1)^2, 1/4*q^2],
[q*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q+1)^2*(q^2+q+1)^2*(q^2+1)^2*(q-1)^3, 1/3*q^2*(q-1)],
[(q^4+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2*(q-1)^4*(q+1)^4, 1/12*q^2*(q-1)*(q+1)],
[q^24, 1],
[q*(q^2+q+1)*(q^4-q^2+1)*(q^4+1)*(q-1)^2*(q^2+1)^2*(q^2-q+1)^2*(q+1)^3, 1/3*(q-1)*(q^2-2)],
[q^3*(q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q-1)^2*(q^2+q+1)^2*(q^2+1)^2, 1/2*q*(q-2)],
[(q^4-q^2+1)*(q^4+1)*(q-1)^2*(q+1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/64*q*(5*q-4)*(q-2)^2],
[q^4*(q-1)*(q+1)*(q^2+1)*(q^4+1)*(q^4-q^2+1)*(q^2-q+1)^2*(q^2+q+1)^2, 1/2*q*(q-2)],
[q^3*(q-1)*(q^2+q+1)*(q^4-q^2+1)*(q^4+1)*(q+1)^2*(q^2+1)^2*(q^2-q+1)^2, 1/2*q*(q-2)],
[q^6*(q^4+1)*(q^4-q^2+1)*(q+1)^2*(q^2+1)^2*(q^2-q+1)^2, 1],
[q^2*(q-1)*(q+1)*(q^4-q^2+1)*(q^4+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/2*q*(q-2)],
[q^3*(q^4-q^2+1)*(q^4+1)*(q+1)^2*(q^2+q+1)^2*(q^2+1)^2*(q-1)^3, 1/3*q*(q-1)],
[(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^2+1)^2*(q^2+q+1)^2*(q-1)^3*(q+1)^3, 1/6*q*(q-1)*(q-2)*(q+1)],
[q*(q^2+1)*(q^4+1)*(q^4-q^2+1)*(q-1)^2*(q^2+q+1)^2*(q^2-q+1)^2*(q+1)^3, 1/4*q^2*(q-2)],
[(q^2+q+1)*(q^4-q^2+1)*(q^4+1)*(q-1)^2*(q^2+1)^2*(q^2-q+1)^2*(q+1)^4, 1/18*(q^2-2*q-4)*(q-1)^2],
[q^9*(q+1)*(q^2+1)*(q^4+1)*(q^4-q^2+1)*(q^2-q+1)*(q^2+q+1), q-2],
[q*(q-1)*(q^4-q^2+1)*(q^4+1)*(q+1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 3/8*q*(q-2)*(q-4)],
[q^4*(q^2+q+1)*(q^4-q^2+1)*(q^4+1)*(q+1)^2*(q^2+1)^2*(q^2-q+1)^2, q-4],
[(q^4-q^2+1)*(q^4+1)*(q^2+1)^2*(q^2+q+1)^2*(q-1)^4*(q+1)^4, 1/72*q*(q-1)*(q-3)*(q+2)],
[(q^2+1)*(q^4+1)*(q^4-q^2+1)*(q-1)^2*(q^2+q+1)^2*(q^2-q+1)^2*(q+1)^4, 1/32*q^2*(q-2)*(q-4)],
[(q-1)*(q^4-q^2+1)*(q^4+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2*(q+1)^3, 1/48*q*(q-6)*(q-2)*(q-4)],
[q^4*(q^2+1)*(q^4+1)*(q^4-q^2+1)*(q+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/8*(q-2)*(q-4)],
[q^3*(q^2+q+1)*(q^4-q^2+1)*(q^4+1)*(q^2+1)^2*(q^2-q+1)^2*(q+1)^3, 1/6*(q-4)^2],
[q^2*(q^4-q^2+1)*(q^4+1)*(q+1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2, 1/4*(q-4)^2],
[q*(q^4-q^2+1)*(q^4+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2*(q+1)^3, 1/24*(q-4)*(q^2-12*q+28)],
[(q^4-q^2+1)*(q^4+1)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2*(q+1)^4, 1/1152*(q-10)*(q-4)*(q^2-14*q+32)]
];